I, during bungee jumping, dance (7)
I believe the answer is:
beguine
'dance' is the definition.
(I know that beguine is a type of ballroom dance)
'i during bungee jumping' is the wordplay.
'during' is an insertion indicator.
'jumping' is an anagram indicator.
'bungee' anagrammed gives 'begune'.
'i' going within 'begune' is 'BEGUINE'.
(Other definitions for beguine that I've seen before include "French West Indian 20" , "Cole Porter song: 'Begin the .......'" , "Dance of French West Indian origin" .)